Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 4454 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1q_2^2$ | 0.6596 | 0.8946 | 0.7373 | [X:[], M:[0.9155, 1.2536, 0.9155, 0.7464, 0.7464, 0.7113, 0.9155, 0.7464], q:[0.7289, 0.3556], qb:[0.3556, 0.3908], phi:[0.5423]] | [X:[], M:[[4], [-12], [4], [12], [12], [-10], [4], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ q_2\tilde{q}_1$, $ M_4$, $ M_5$, $ M_8$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4M_6$, $ M_5M_6$, $ M_6M_8$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4M_8$, $ M_5M_8$, $ M_8^2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_6$, $ M_3M_6$, $ M_6M_7$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_5$, $ M_4M_7$, $ M_5M_7$, $ M_1M_8$, $ M_3M_8$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1M_7$, $ M_3M_7$, $ M_7^2$, $ M_6q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_8\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | -1 | 2*t^2.13 + 4*t^2.24 + 3*t^2.75 + t^3.36 + t^3.76 + t^3.87 + t^3.97 + 3*t^4.27 + 8*t^4.37 + 10*t^4.48 + 6*t^4.88 + 12*t^4.99 + 7*t^5.49 + 4*t^5.6 - t^6. + 6*t^6.11 + 4*t^6.21 + 4*t^6.4 + 10*t^6.51 + 20*t^6.61 + 23*t^6.72 + 6*t^7.01 + 19*t^7.12 + 29*t^7.23 + t^7.33 - 2*t^7.52 + 6*t^7.63 + 24*t^7.73 + 11*t^7.84 + t^7.94 - t^8.03 - 11*t^8.13 + 18*t^8.34 + 10*t^8.45 + 5*t^8.54 + 6*t^8.64 + 3*t^8.75 + 43*t^8.85 + 47*t^8.96 - t^4.63/y - t^6.76/y - (2*t^6.87)/y + t^7.27/y + (6*t^7.37)/y + (6*t^7.48)/y + (8*t^7.88)/y + (12*t^7.99)/y + (2*t^8.39)/y + (6*t^8.49)/y + (4*t^8.6)/y + t^8.89/y - t^4.63*y - t^6.76*y - 2*t^6.87*y + t^7.27*y + 6*t^7.37*y + 6*t^7.48*y + 8*t^7.88*y + 12*t^7.99*y + 2*t^8.39*y + 6*t^8.49*y + 4*t^8.6*y + t^8.89*y | (2*t^2.13)/g1^10 + 4*g1^12*t^2.24 + 3*g1^4*t^2.75 + g1^18*t^3.36 + t^3.76/g1^12 + g1^10*t^3.87 + g1^32*t^3.97 + (3*t^4.27)/g1^20 + 8*g1^2*t^4.37 + 10*g1^24*t^4.48 + (6*t^4.88)/g1^6 + 12*g1^16*t^4.99 + 7*g1^8*t^5.49 + 4*g1^30*t^5.6 - t^6. + 6*g1^22*t^6.11 + 4*g1^44*t^6.21 + (4*t^6.4)/g1^30 + (10*t^6.51)/g1^8 + 20*g1^14*t^6.61 + 23*g1^36*t^6.72 + (6*t^7.01)/g1^16 + 19*g1^6*t^7.12 + 29*g1^28*t^7.23 + g1^50*t^7.33 - (2*t^7.52)/g1^24 + (6*t^7.63)/g1^2 + 24*g1^20*t^7.73 + 11*g1^42*t^7.84 + g1^64*t^7.94 - t^8.03/g1^32 - (11*t^8.13)/g1^10 + 18*g1^34*t^8.34 + 10*g1^56*t^8.45 + (5*t^8.54)/g1^40 + (6*t^8.64)/g1^18 + 3*g1^4*t^8.75 + 43*g1^26*t^8.85 + 47*g1^48*t^8.96 - t^4.63/(g1^2*y) - t^6.76/(g1^12*y) - (2*g1^10*t^6.87)/y + t^7.27/(g1^20*y) + (6*g1^2*t^7.37)/y + (6*g1^24*t^7.48)/y + (8*t^7.88)/(g1^6*y) + (12*g1^16*t^7.99)/y + (2*t^8.39)/(g1^14*y) + (6*g1^8*t^8.49)/y + (4*g1^30*t^8.6)/y + t^8.89/(g1^22*y) - (t^4.63*y)/g1^2 - (t^6.76*y)/g1^12 - 2*g1^10*t^6.87*y + (t^7.27*y)/g1^20 + 6*g1^2*t^7.37*y + 6*g1^24*t^7.48*y + (8*t^7.88*y)/g1^6 + 12*g1^16*t^7.99*y + (2*t^8.39*y)/g1^14 + 6*g1^8*t^8.49*y + 4*g1^30*t^8.6*y + (t^8.89*y)/g1^22 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 5962 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1q_2^2$ + $ M_9\phi_1\tilde{q}_2^2$ | 0.6804 | 0.9357 | 0.7272 | [X:[], M:[0.9159, 1.2522, 0.9159, 0.7478, 0.7478, 0.7101, 0.9159, 0.7478, 0.6725], q:[0.729, 0.3551], qb:[0.3551, 0.3928], phi:[0.542]] | t^2.02 + 2*t^2.13 + 4*t^2.24 + 3*t^2.75 + t^3.37 + t^3.76 + t^3.87 + t^4.03 + 2*t^4.15 + 7*t^4.26 + 8*t^4.37 + 10*t^4.49 + 3*t^4.77 + 6*t^4.88 + 12*t^4.99 + t^5.38 + 7*t^5.5 + 4*t^5.61 + t^5.77 + t^5.89 - t^6. - t^4.63/y - t^4.63*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 2415 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6405 | 0.8589 | 0.7458 | [X:[], M:[0.9178, 1.2467, 0.9178, 0.7533, 0.7533, 0.7056, 0.9178], q:[0.7294, 0.3528], qb:[0.3528, 0.4006], phi:[0.5411]] | 2*t^2.12 + 3*t^2.26 + 3*t^2.75 + t^3.39 + 2*t^3.74 + t^3.88 + t^4.03 + 3*t^4.23 + 6*t^4.38 + 6*t^4.52 + 6*t^4.87 + 9*t^5.01 + 7*t^5.51 + 3*t^5.65 + 2*t^5.86 + t^6. - t^4.62/y - t^4.62*y | detail |